# Math Help - abstract algebra

1. ## abstract algebra

I am having dificulties with subgroups and how to develop generators.
I have a question

Find the numbers of generatos os a cyclic groups of orders Z6, Z8, Z12 and Z60

2. This is the wrong section.. Also, you may want to clarify your question a bit. I understand that you want $$ for some group where $o(x)$ is one of the following $\{6,8,12,60\}$. But you never gave the group.

3. Originally Posted by rupecee1
i habibg dificulties with subgroups and how to develop generators.
i have a question

fiend the numbers of generatos os a cyclic groups of orders 6, 8, 12 and 60
Cyclic groups of finite order are always isomorphic to the integers mod n
Note that cyclic groups always have $\varphi(n)$ generators where $\varphi$ is the Euler Phi function